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math-ph2026
Quantum Systems with jump-discontinuous mass. I
Fabio Deelan Cunden, Giovanni Gramegna, Marilena Ligabò
We consider a free quantum particle in one dimension whose mass profile exhibits jump discontinuities. The corresponding Hamiltonian is a self-adjoint realisation of the kinetic-en…
math-ph2025
Truncated quantum observables and their semiclassical limit
Fabio Deelan Cunden, Marilena Ligabò, Maria Caterina Susca
For quantum observables truncated on the range of orthogonal projections of rank , we study the corresponding Weyl symbol in the phase space in the semiclassical limi…